Question

"Brine enters a cooler at the rate of 5,000 gal/hr at 75°F and leaves at 21°FThe specific heat and specific gravity of the brine are 1.2 kJ/kg-°K and 1.2, respectively. Calculate Heat transferred in Hp

Answer 1

To calculate the heat transferred in horsepower (Hp), we can use the equation: Heat Transferred (in Hp) = (Flow Rate of Brine) x (Specific Heat of Brine) x (Change in Temperature). Given the flow rate, specific heat, and change in temperature, we can plug the values into the equation to find the heat transferred in Hp.

Step-by-step explanation:

To calculate the heat transferred in horsepower (Hp), we need to use the equation:

Heat Transferred (in Hp) = (Flow Rate of Brine) x (Specific Heat of Brine) x (Change in Temperature)

Given:

• Flow Rate of Brine = 5,000 gal/hr
• Specific Heat of Brine = 1.2 kJ/kg-°K
• Change in Temperature = (75°F - 21°F)

First, convert the flow rate from gallons per hour to kilograms per second:

1 gallon = 3.78541 kg

1 hour = 3600 seconds

So, Flow Rate of Brine = 5,000 gal/hr x 3.78541 kg/gal x (1/3600) hr/s

Then, convert the change in temperature from Fahrenheit to Kelvin:

Change in Temperature (in °K) = (75°F - 21°F) x (5/9) + 273.15

Finally, substitute the values into the heat transfer equation and solve for the heat transferred in horsepower:

Heat Transferred (in Hp) = (5000 x 3.78541 x (1/3600) x 1.2 x [(75 - 21) x (5/9) + 273.15]) / 745.7